Question

3. Alex knows that it takes approximately 4186.67 cubic centimeters to fill a volleyball with air.

1) What is the approximate diameter of the volleyball?

2) Describe what steps you used to come up with your answer.

Answer 1

volume of a ball = 4/3 x pi x r^3

volume = 4186.67

4186.67 = 4/3 x pi x r^3

1st step multiply PI x 4/3 ( 4/3 x 3.14 = 4.18667)

now you have 4186.67 = 4.18667 x r^3

2nd step divide both sides by 4.18667 to get r^3

r^3 = 4186.67 / 4.18667
r^3 = 1000
 
solve for r by finding cubic root of 1000 

r = ∛1000

r = 10

diameter = 2r = 2(10) = 20 cm